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Finding the Fourth Proportional to 1,897.80, 2,842.19 and 1,624.08

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Solution

The fourth proportional to 1,897.80, 2,842.19 and 1,624.08 is: 2,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.80 : 2,842.19 = 1,624.08 : x
  2. Step 2: Convert to fraction form
    1,897.80/2,842.19 = 1,624.08/x
  3. Step 3: Cross multiply
    1,897.80x = 2,842.19 × 1,624.08
  4. Step 4: Simplify right side
    1,897.80x = 4,615,952.56
  5. Step 5: Solve for x
    x = 4,615,952.56/1,897.80
  6. Step 6: Final answer
    x = 2,432.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.